Abstract.  We prove that the sum of d small-bias generators fools degree-d polynomials in n variables over a field , for any fixed degree d and field , including . Our result builds on, simplifies, and improves on both the work by Bogdanov and Viola (FOCS ’07) and the follow-up by Lovett (STOC ’08). The first relies on a conjecture that turned out to be true only for some degrees and fields, while the latter considers the sum of 2^d small-bias generators (as opposed to d in our result).